Naslov
Numerical solving of an initial-value problem by Rbf basis functions of algebraic polynomials class

Autori
Gotovac, Blaž ; Kozulić, Vedrana

Vrsta, podvrsta i kategorija rada
Radovi u zbornicima skupova, cjeloviti rad (in extenso), znanstveni

Izvornik
Proceedings of the 3rd International Congress of Croatian Society of Mechanics / Marović, Pavao - Cavtat : Hrvatsko društvo za mehaniku (HDM), 2000, 121-128

Skup
3rd International Congress of Croatian Society of Mechanics

Mjesto i datum
Dubrovnik, Hrvatska; Cavtat, Hrvatska, 28.09.2000. - 30.09.2000

Vrsta sudjelovanja
Predavanje

Vrsta recenzije
Međunarodna recenzija

Ključne riječi
initial-value problems; Rvachev's basis functions; accuracy and stability; critical time step

Sažetak
This paper presents new procedure of numerical solving of initial-value problems. To obtain a response of a dynamic system, smooth finite functions Fup2(t) which belong to a class of Rvachev's basis functions Rbf are used. Because of infinite derivability of the functions Fup2(t), derivatives of all orders, required by differential equation of the problem and initial conditions, are used directly in numerical procedure. Accuracy and stability of the proposed numerical procedure are proved on an example of the single degree of freedom system. Critical time step was also determined. An algorithm for solving multiple degree of freedom systems by the collocation method was developed. Obtained numerical results show very good correspondence with an exact solution.

Izvorni jezik
Engleski

Znanstvena područja
Građevinarstvo

POVEZANOST RADA